By Ron Larson
This market-leading textual content maintains to supply scholars and teachers with sound, regularly based reasons of the mathematical options. Designed for a two-term path, the hot 8th version keeps the positive factors that experience made Algebra and Trigonometry an entire resolution for either scholars and teachers: fascinating purposes, state of the art layout, and cutting edge know-how mixed with an abundance of rigorously written routines.
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Additional info for Algebra and Trigonometry (Eighth Edition)
X Ϫ 4͒͑3 ϩ x͒ ͑2x Ϫ 1͒͑x Ϫ 4͒ ϭϪ 3ϩx , x 2x Ϫ 1 4 ͑4 Ϫ x͒ ϭ Ϫ ͑x Ϫ 4͒ Divide out common factors. Now try Exercise 39. In this text, when a rational expression is written, the domain is usually not listed with the expression. It is implied that the real numbers that make the denominator zero are excluded from the expression.
In Exercises 119 and 120, determine whether the statement is true or false. Justify your answer. 119. The product of two binomials is always a seconddegree polynomial. 120. The sum of two binomials is always a binomial. 121. Find the degree of the product of two polynomials of degrees m and n. 122. Find the degree of the sum of two polynomials of degrees m and n if m < n. 123. WRITING A student’s homework paper included the following. ͑x Ϫ 3͒2 ϭ x 2 ϩ 9 Write a paragraph fully explaining the error and give the correct method for squaring a binomial.
The expressions a ϩ bΊm and a Ϫ bΊm are ________ of each other. The process used to create a radical-free denominator is known as ________ the denominator. In the expression bm͞n, m denotes the ________ to which the base is raised and n denotes the ________ or root to be taken. SKILLS AND APPLICATIONS In Exercises 11–18, evaluate each expression. 55 52 13. (a) ͑33͒0 14. (a) ͑23 и 32͒2 (b) 3 и 32 (b) 4 3 (b) Ϫ32 3 2 (b) ͑Ϫ 35 ͒ ͑53 ͒ 3 15. (a) Ϫ4 3 (b) 48͑Ϫ4͒ 11. (a) 32 и3 12. (a) 4 и 3Ϫ2 2Ϫ2 и 3Ϫ1 17.